Tài liệu Special Functions part 3 doc

... t,z,ans; z=fabs(x); t=1.0/(1.0+0.5*z); ans=t*exp(-z*z-1.265512 23+ t*(1.0000 236 8+t*(0 .37 409196+t*(0.09678418+ t*(-0.18628806+t*(0.27886807+t*(-1. 135 2 039 8+t*(1.48851587+ t*(-0.822152 23+ t*0.17087277))))))))); return x >= ... about a+1. In these respective 218 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 0...

Ngày tải lên: 21/01/2014, 18:20

... x,y,tmp,ser; static double cof[6]={76.18009172947146,-86.50 532 032 941677, 24.014098240 830 91,-1. 231 739 572450155, 0.12086509 738 66179e-2,-0. 539 5 239 384953e-5}; int j; y=x=xx; tmp=x+5.5; tmp -= (x+0.5)*log(tmp); ser=1.000000000190015; for ... half complex plane Re z>0. 214 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISB...

Ngày tải lên: 21/01/2014, 18:20

... 2.5e- 13 #define BIG 9.0e11 #define C1 (3. 0/14.0) #define C2 (1.0 /3. 0) #define C3 (3. 0/22.0) #define C4 (3. 0/26.0) #define C5 (0.75*C3) #define C6 (1.5*C4) #define C7 (0.5*C2) #define C8 (C3+C3) 266 Chapter ... vol. 7, pp. 78–90; 1965, op. cit. , vol. 7, pp. 35 3 35 4; 1969, op. cit. , vol. 13, pp. 30 5 31 5. [8] Carlson, B.C. 1979, Numerische Mathematik , vol. 33 , pp. 1–16. [9] Car...

Ngày tải lên: 21/01/2014, 18:20

... vol. 7, pp. 78–90; 1965, op. cit. , vol. 7, pp. 35 3 35 4; 1969, op. cit. , vol. 13, pp. 30 5 31 5. [8] Carlson, B.C. 1979, Numerische Mathematik , vol. 33 , pp. 1–16. [9] Carlson, B.C., and Notis, E.M. ... vol. 8, pp. 231 –242. [3] Carlson, B.C. 1987, Mathematics of Computation , vol. 49, pp. 595–606 [4]; 1988, op. cit. , vol. 51, pp. 267–280 [5]; 1989, op. cit. , vol. 53, pp. 32 7 33 3...

Ngày tải lên: 21/01/2014, 18:20

... 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 6. Special Functions 6.0 Introduction There is nothing particularly special about a special ... the moniker. Special functions are sometimes called higher transcendental functions( higher than what?) or functionsof mathematicalphysics (but they occur in other fields also) o...

Ngày tải lên: 24/12/2013, 12:16

... partition. In this multiple- partition method, when a partition is free, a process is selected from the input queue and is loaded into the free partition. When the process terminates, the partition ... 0 maps to physical address 20 (= (5 x 4) + 0). Logical address 3 (page 0, offset 3) maps to physical address 23 (= (5 x 4) + 3) . Logical address 4 is page 1, offset 0; according to t...

Ngày tải lên: 18/01/2014, 12:20

... − ∞  m=0 m=n−1 (−x) m (m − n +1)m! (6 .3. 6) The quantity ψ(n) here is the digamma function, given for integer arguments by ψ(1) = −γ, ψ(n)=−γ+ n−1  m=1 1 m (6 .3. 7) 6 .3 Exponential Integrals 2 23 Sample page from ... expint"); else { if (n == 0) ans=exp(-x)/x; Special case. else { if (x == 0.0) ans=1.0/nm1; Another special case. else { 224 Chapter 6. Special Functions Sam...

Ngày tải lên: 21/01/2014, 18:20

... to x/h,andx 0 ≡n 0 h,x  ≡x−x 0 ,andn  ≡n−n 0 ,sothat F(x)≈ 1 √ π N  n  =−N n  odd e −(x  −n  h) 2 n  + n 0 , (6.10.4) 260 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge ... for F (x), due to Rybicki [1] ,is F(z) = lim h→0 1 √ π  n odd e −(z−nh) 2 n (6.10 .3) What ma...

Ngày tải lên: 21/01/2014, 18:20

... 226 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge ... nrerror(char error_text[]); 228 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge ... however, that the b...

Ngày tải lên: 21/01/2014, 18:20

... approximation. y=x*x; ans1=x*(7 236 2614 232 .0+y*(-7895059 235 .0+y*(24 239 68 53. 1 +y*(-2972611. 439 +y*(15704.48260+y*( -30 .16 036 606)))))); ans2=144725228442.0+y*( 230 0 535 178.0+y*(185 833 04.74 +y*(99447. 433 94+y* (37 6.999 139 7+y*1.0)))); ans=ans1/ans2; } ... Bessel functions are on the order J ν (ν) ∼ 2 1 /3 3 2 /3 Γ( 2 3 ) 1 ν 1 /3 ∼ 0.44 73 ν 1 /3 Y ν (ν) ∼− 2 1 /3 3...

Ngày tải lên: 21/01/2014, 18:20